{"id":"W4396535099","doi":"10.5539/jmr.v16n2p1","title":"On the Universal Presence of Mathematics for Incompletely Predictable Problems in Rigorous Proofs for Riemann Hypothesis, Modified Polignac’s and Twin Prime Conjectures","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Mathematical proof; Riemann hypothesis; Prime (order theory); Prime number theorem; Twin prime; Prime number; Calculus (dental); Pure mathematics; Discrete mathematics; Combinatorics; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006108125,0.0007539413,0.00102902,0.002189547,0.002558507,0.00470856,0.001445444,0.00160171,0.004793611],"category_scores_gemma":[0.01960428,0.000469492,0.001463786,0.001207132,0.01331548,0.01471941,0.005675669,0.005829198,0.0007677528],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001899781,"about_ca_system_score_gemma":0.001418234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005381412,"about_ca_topic_score_gemma":0.0003819291,"domain_scores_codex":[0.9973069,0.0009385333,0.0001317661,0.0006546117,0.0007843561,0.0001838724],"domain_scores_gemma":[0.9905086,0.00541028,0.0009316055,0.001946434,0.0007415873,0.0004615819],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000548084,0.000005077628,0.0001627368,0.00002158339,0.000002553713,0.00003639771,0.0001145651,0.0002604289,0.0001098305,0.9972562,0.0004413475,0.001583855],"study_design_scores_gemma":[0.000004990807,0.00001089356,0.0001096662,0.00001595189,0.00000385266,0.00008059441,0.0000334129,0.002456689,0.0002537452,0.994457,0.002566025,0.000007133976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1533388,0.004293673,0.7020125,0.01950752,0.001317525,0.0001078654,0.0003711082,0.0006832217,0.1183678],"genre_scores_gemma":[0.9024293,0.002044136,0.08121743,0.00188296,0.001091971,0.0001813092,0.0002580685,0.0002192563,0.01067558],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006108125,"threshold_uncertainty_score":0.03230321,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1790120488527892,"score_gpt":0.3733470735226845,"score_spread":0.1943350246698953,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}